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We identify a new observability concept, called relative observability, in supervisory control of discrete-event systems under partial observation. A fixed, ambient language is given, relative to which observability is tested. Relative…

Systems and Control · Computer Science 2014-03-24 Kai Cai , Renyuan Zhang , W. Murray Wonham

Recently we proposed relative observability for supervisory control of discrete-event systems under partial observation. Relative observability is closed under set unions and hence there exists the supremal relatively observable sublanguage…

Systems and Control · Computer Science 2016-09-09 Kai Cai , Renyuan Zhang , W. M. Wonham

We study the new concept of relative coobservability in decentralized supervisory control of discrete-event systems under partial observation. This extends our previous work on relative observability from a centralized setup to a…

Systems and Control · Computer Science 2016-04-14 Kai Cai , Renyuan Zhang , W. M. Wonham

In this paper, we further develop the coordination control framework for discrete-event systems with both complete and partial observation. A new weaker sufficient condition for the computation of the supremal conditionally controllable…

Optimization and Control · Mathematics 2014-03-20 Jan Komenda , Tomáš Masopust , Jan H. van Schuppen

The fundamental problem in hierarchical supervisory control under partial observation is to find conditions preserving observability between the original (low-level) and the abstracted (high-level) plants. Two conditions for observable…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Jan Komenda , Tomáš Masopust

Conditions preserving observability of specifications between the plant and its abstraction are essential for hierarchical supervisory control of discrete-event systems under partial observation. Observation consistency and local…

Systems and Control · Electrical Eng. & Systems 2023-02-27 Jan Komenda , Tomáš Masopust

One of the most interesting questions concerning hierarchical control of discrete-event systems with partial observations is a condition under which the language observability is preserved between the original and the abstracted plant.…

Systems and Control · Computer Science 2012-01-10 Tomáš Masopust

Output controllability and functional observability are properties that enable, respectively, the control and estimation of part of the state vector. These notions are of utmost importance in applications to high-dimensional systems, such…

Optimization and Control · Mathematics 2025-08-04 Arthur N. Montanari , Chao Duan , Adilson E. Motter

Complex systems are often composed of many small communicating components called modules. We investigate the synthesis of supervisory controllers for modular systems under partial observation that, as the closed-loop system, realize the…

Formal Languages and Automata Theory · Computer Science 2023-02-22 Jan Komenda , Tomáš Masopust

This paper presents a closed-form notion of controllability and observability for systems with communication delays, actuation delays, and locality constraints. The formulation reduces to classical notions of controllability and…

Optimization and Control · Mathematics 2024-04-08 Lauren Conger , Yiheng Lin , Adam Wierman , Eric Mazumdar

Recently we developed supervisor localization, a top-down approach to distributed control of discrete-event systems. Its essence is the allocation of monolithic (global) control action among the local control strategies of individual…

Systems and Control · Computer Science 2018-06-20 Renyuan Zhang , Kai Cai , W. M. Wonham

Controllability and observability are important properties of a distributed paramater systems.The equivalence between the notion of exact observability and exact controllability holds in general. In this work, we define a new notion of…

Optimization and Control · Mathematics 2013-06-21 Akram Ben Aissa

Due to the appearance of uncontrollable events in discrete event systems, one may wish to replace the behavior leading to the uncontrollability of pre-specified language by some quite similar one. To capture this similarity, we introduce…

Discrete Mathematics · Computer Science 2007-05-23 Yongzhi Cao , Mingsheng Ying

Fuzzy discrete event systems as a generalization of (crisp) discrete event systems have been introduced in order that it is possible to effectively represent uncertainty, imprecision, and vagueness arising from the dynamic of systems. A…

Discrete Mathematics · Computer Science 2007-05-23 Yongzhi Cao , Mingsheng Ying

The duality between controllability and observability enables methods developed for full-state control to be applied to full-state estimation, and vice versa. In applications in which control or estimation of all state variables is…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Arthur N. Montanari , Chao Duan , Adilson E. Motter

It has been observed that linearizability, the prevalent consistency condition for implementing concurrent objects, does not preserve some probability distributions. A stronger condition, called strong linearizability has been proposed, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-30 Hagit Attiya , Constantin Enea

Several concepts on the measure of observability, reachability, and robustness are defined and illustrated for both linear and nonlinear control systems. Defined by using computational dynamic optimization, these concepts are applicable to…

Optimization and Control · Mathematics 2009-07-17 Wei Kang , Liang Xu

The classical notions of structural controllability and structural observability are receiving increasing attention in Network Science, since they provide a mathematical basis to answer how the network structure of a dynamic system affects…

Systems and Control · Computer Science 2018-12-13 Marco Tulio Angulo , Andrea Aparicio , Claude H. Moog

This paper introduces the new concepts of Functional Controllability and Functional Stabilizability, and establishes their duality with Functional Observability and Functional Detectability, respectively. A Generalized Separation Principle…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Tyrone Fernando , Mohamed Darouach

Partial Observability -- where agents can only observe partial information about the true underlying state of the system -- is ubiquitous in real-world applications of Reinforcement Learning (RL). Theoretically, learning a near-optimal…

Machine Learning · Computer Science 2022-12-19 Fan Chen , Yu Bai , Song Mei
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